Name
Title | ||
|---|---|---|
Laplace transform for the solution of higher order deformation equations arising in the homotopy analysis method |
Abstract | ||
|---|---|---|
new analytic approach for solving nonlinear ordinary differential equations with initial conditions is proposed. First, the homotopy analysis method is used to transform a nonlinear differential equation into a system of linear differential equations; then, the Laplace transform method is applied to solve the resulting linear initial value problems; finally, the solutions to the linear initial value problems are employed to form a convergent series solution to the given problem. The main advantage of the new approach is that it provides an effective way to solve the higher order deformation equations arising in the homotopy analysis method. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1007/s11075-013-9773-0 | Numerical Algorithms |
Keywords | Field | DocType |
Laplace transform,Initial value problem,Analytic solution,Homotopy analysis method | Mathematical optimization,Linear differential equation,Mathematical analysis,Numerical partial differential equations,Laplace transform applied to differential equations,Adomian decomposition method,Two-sided Laplace transform,Homotopy analysis method,Partial differential equation,Mathematics,Inverse Laplace transform | Journal |
Volume | Issue | ISSN |
67 | 1 | 1017-1398 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Songxin Liang | 1 | 21 | 5.09 |
| Junchi Ma | 2 | 0 | 0.34 |